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TRS Standard pair #516964686
details
property
value
status
complete
benchmark
koen.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.084184885025 seconds
cpu usage
0.019483597
max memory
1527808.0
stage attributes
key
value
output-size
1167
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S X:S) (RULES f(s(X:S),X:S) -> f(X:S,a(X:S)) f(X:S,c(X:S)) -> f(s(X:S),X:S) f(X:S,X:S) -> c(X:S) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(s(X:S),X:S) -> f(X:S,a(X:S)) f(X:S,c(X:S)) -> f(s(X:S),X:S) f(X:S,X:S) -> c(X:S) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(s(X:S),X:S) -> F(X:S,a(X:S)) F(X:S,c(X:S)) -> F(s(X:S),X:S) -> Rules: f(s(X:S),X:S) -> f(X:S,a(X:S)) f(X:S,c(X:S)) -> f(s(X:S),X:S) f(X:S,X:S) -> c(X:S) Problem 1: SCC Processor: -> Pairs: F(s(X:S),X:S) -> F(X:S,a(X:S)) F(X:S,c(X:S)) -> F(s(X:S),X:S) -> Rules: f(s(X:S),X:S) -> f(X:S,a(X:S)) f(X:S,c(X:S)) -> f(s(X:S),X:S) f(X:S,X:S) -> c(X:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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